What is the 2633rd prime number?
The 2633rd prime number is 23669. The next prime is 23671 (a gap of 2) and the one before is 23663.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2633rd one is 23669.
- 2
23669 is prime because no prime up to ā23669 ā 153.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2633rd prime is close to 2633 Ć ln(2633) ā 20737, and here it is 23669.
- 4
23669 is a twin prime: 23669 and 23671 are both prime.
Primes around the 2633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2630 | 23629 | 2 |
| 2631 | 23633 | 4 |
| 2632 | 23663 | 30 |
| 2633 | 23669 | 6 |
| 2634 | 23671 | 2 |
| 2635 | 23677 | 6 |
| 2636 | 23687 | 10 |
Questions
What is the 2633rd prime number?
23669.
Which prime number is 23669?
23669 is the 2633rd prime number.
What is the sum of the first 2633 primes?
29,270,606.